Question

Coordinates of a diagonal of a rectangle are (0, 0) and (4, 3). Find the equations of the tangents to the circumcircle of the rectangle which are parallel to this diagonal.

Answer 1

 Here centre of circle is the mid-point of line OP hence by using slope point form we can get required equation of tangents.

Two extremities are O (0, 0) and P (4, 3). Middle point of the diagonal OP is M (2, 3/2) 

which is the centre of the circumscribed circle and radius is OM 

A line parallel to OP is y =  3/4 x +c

It is a tangent to the circumscribed circle. 

Therefore length of perpendicular from